Fractional Quantum Hall Physics in Jaynes-Cummings-Hubbard Lattices

TL;DR

This paper demonstrates how to realize and identify Fractional Quantum Hall states in Jaynes-Cummings-Hubbard arrays by introducing an effective magnetic field through dynamic cavity tuning, enabling quantum emulation of topological states.

Contribution

It presents a method to generate and detect fractional quantum Hall states in light-based lattice systems using tunable cavity resonances.

Findings

Existence of Fractional Quantum Hall states confirmed by topological invariants.

Phase transitions between topologically distinct states observed.

High overlap with Laughlin wavefunctions indicating strong correlation.

Abstract

Jaynes-Cummings-Hubbard arrays provide unique opportunities for quantum emulation as they exhibit convenient state preparation and measurement, and in-situ tuning of parameters. We show how to realise strongly correlated states of light in Jaynes-Cummings-Hubbard arrays under the introduction of an effective magnetic field. The effective field is realised by dynamic tuning of the cavity resonances. We demonstrate the existence of Fractional Quantum Hall states by com- puting topological invariants, phase transitions between topologically distinct states, and Laughlin wavefunction overlap.